# Tagged Questions

Mathematical vectors, operations on vectors and vectorized programming.

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1k views

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### Plotting a vector function composed of piecewise scalar functions

I am relatively new to Mathematica, and am having difficulty doing something that is conceptually very simple. I am trying to plot a vector field in which the vector function is composed of piecewise ...
2answers
235 views

### Plotting a complicated 3D wave on the surface of a sphere [duplicate]

Suppose you have a vectorial wave described by a complicated function of time and cartesian coordinates $t$, $x$, $y$ $z$ (very simple example below) : ...
1answer
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### NDSolve and a vector function [duplicate]

I'm trying to solve a set of differential equations which include a numerical function that takes a vector and returns a vector. ...
5answers
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### How to define a set of two random orthogonal unit vectors?

I need to define a random set of two orthogonal unit vectors. The code below doesn't give proper unit and orthogonal vectors : ...
3answers
197 views

### Plotting a 3D vector field on 2D plane

I want to visualize vector field that is of the form $(v_1(x,y), v_2(x,y), v_3(x,y))$, i.e. there is a three component vector that depends on only two coordinates $x$ and $y$ in the real plane. There ...
0answers
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### How to pack arguments of a function into a vector for brevity? [closed]

I have a function like the following one: F[a_, b_, c_, d_] := Product[f[x, y, z, j, i], {j, a, b}, {i, c, d}] where ...
1answer
59 views

### Integrating a gradient and matching terms automatically

I am trying to integrate a function $\nabla w(x,y)$ indefinitely knowing both components of $\nabla w(x,y)$. I have a function dw[x_,y_] that I have defined. I then ...
0answers
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### Simplify expression?

Suppose I have expressions that involve terms like: p1.p1+p2.p2+p3.p3+p4.p4 p1, p2, p3, and p4 are all elements of an array: ...
1answer
161 views

### Errors Solving Elliptic PDES with FEM

I am trying to solve the equation below governing transversely isotropic plane strain in cartesian coordinates with the given boundary conditions based on code found here using Mathematica 10.1 on OSX ...
1answer
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### How to a convert a 2D vector into an angle [closed]

How do you calculate the angle between the line from the origin to a point $(x,y)$ and the horizontal axis?
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### Color vectors according to a user-defined function

V[x_,z_]:=x/Sqrt[x^2+z^2]; Ex[x_,z_]=-D[V[x,z],x]; Ez[x_,z_]=-D[V[x,z],z]; The electric field components (Ex,Ez) are to be plotted as a vector field in the x-z ...
1answer
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### Cross product of three vectors

I am following the answer of Jens from following post: How do I simplify a vector expression? vec /: Cross[vec[x_], HoldPattern[Cross[y__]]] := I want to create ...
1answer
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### Draw Vectors in Spherical Shell and then Animate

I want to draw three vectors inside a spherical shell. One of the vectors will be moving, the others will be stationary. However, the animation is the next step. For now, I would like to get the ...
1answer
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### Factor vector out of a matrix

I am wondering how to factor a[1],a[2],...,a[4] out of sim so that I can write sim as the ...
2answers
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### Is it possible to do vector calculus in Mathematica?

I am trying to rearrange and manipulate some vector differential equations in Mathematica. As far as I understand you have to tell Mathematica that a variable is a vector by specifying the components ...
0answers
205 views

### Plotting Phase Space [duplicate]

I have these two Equations \begin{align} x'(t)&=\sin(y)\\ y'(t)&=\cos(x) \end{align} and I'm trying to plot the phase space(plane) for this system... I've tryed Equationtrekker but can't ...
3answers
259 views

### Plot a vector field over a line

This seemingly simple problem is giving me some trouble. I need to plot a vector field on a line, and for that I'm following what I found here. I try to create a mesh that contains two points and just ...
0answers
66 views

### Given vector of function plot each of them separately? [closed]

At the moment, I am trying to plot a vector of functions which consists of the change along $x$, $y$, and $z$. Is it possible in Mathematica to give a vector of functions and plot them separately ...
2answers
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### How to avoid 0 OverVector[F] to be evaluated as 0?

I am fairly new in Mathematica and I am trying to work with scalars and vectors. I decided to denote vectors using OverVector (as example, ...
1answer
87 views

### How to adjust vector scaling with a specific aspect ratio

I'm trying to create a vector plot with uniform vector scaling. I need the x and y ranges to be very different, because I need to highlight the angle between the vectors and the y=0 axis. This means ...
4answers
146 views

### How to obtain the gradient of a function as a function?

The Grad function allows me to get the gradient of a function like this: ...
2answers
213 views

### ListPlot vector 3D circle line

I got a 2D vector with the following code. ...
2answers
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### Unevaluated derivatives of known functions after replacement

I want to make the following replacement work correctly: Array[(2 D[xM[[#1]][t], t] * D[xM[[#2]][t], t]) &, {3, 3}] /. {xM -> {Sin[ω t], Cos[ω t], 0}} ...
2answers
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### A problem about matrix/vector extension via $\tt ArrayPad$

Given that I have a vector and matrix as follow: vec = Array[Subscript["P", #] &, 6, 0]; mat = Array[Subscript["P", #1, #2] &, {5, 4}, {0, 0}]; And I ...